3x(x-6)(x+4)(x^2+4x-5)=0

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Solution for 3x(x-6)(x+4)(x^2+4x-5)=0 equation: 


Simplifying
3x(x + -6)(x + 4)(x2 + 4x + -5) = 0

Reorder the terms:
3x(-6 + x)(x + 4)(x2 + 4x + -5) = 0

Reorder the terms:
3x(-6 + x)(4 + x)(x2 + 4x + -5) = 0

Reorder the terms:
3x(-6 + x)(4 + x)(-5 + 4x + x2) = 0

Multiply (-6 + x) * (4 + x)
3x(-6(4 + x) + x(4 + x))(-5 + 4x + x2) = 0
3x((4 * -6 + x * -6) + x(4 + x))(-5 + 4x + x2) = 0
3x((-24 + -6x) + x(4 + x))(-5 + 4x + x2) = 0
3x(-24 + -6x + (4 * x + x * x))(-5 + 4x + x2) = 0
3x(-24 + -6x + (4x + x2))(-5 + 4x + x2) = 0

Combine like terms: -6x + 4x = -2x
3x(-24 + -2x + x2)(-5 + 4x + x2) = 0

Multiply (-24 + -2x + x2) * (-5 + 4x + x2)
3x(-24(-5 + 4x + x2) + -2x * (-5 + 4x + x2) + x2(-5 + 4x + x2)) = 0
3x((-5 * -24 + 4x * -24 + x2 * -24) + -2x * (-5 + 4x + x2) + x2(-5 + 4x + x2)) = 0
3x((120 + -96x + -24x2) + -2x * (-5 + 4x + x2) + x2(-5 + 4x + x2)) = 0
3x(120 + -96x + -24x2 + (-5 * -2x + 4x * -2x + x2 * -2x) + x2(-5 + 4x + x2)) = 0
3x(120 + -96x + -24x2 + (10x + -8x2 + -2x3) + x2(-5 + 4x + x2)) = 0
3x(120 + -96x + -24x2 + 10x + -8x2 + -2x3 + (-5 * x2 + 4x * x2 + x2 * x2)) = 0
3x(120 + -96x + -24x2 + 10x + -8x2 + -2x3 + (-5x2 + 4x3 + x4)) = 0

Reorder the terms:
3x(120 + -96x + 10x + -24x2 + -8x2 + -5x2 + -2x3 + 4x3 + x4) = 0

Combine like terms: -96x + 10x = -86x
3x(120 + -86x + -24x2 + -8x2 + -5x2 + -2x3 + 4x3 + x4) = 0

Combine like terms: -24x2 + -8x2 = -32x2
3x(120 + -86x + -32x2 + -5x2 + -2x3 + 4x3 + x4) = 0

Combine like terms: -32x2 + -5x2 = -37x2
3x(120 + -86x + -37x2 + -2x3 + 4x3 + x4) = 0

Combine like terms: -2x3 + 4x3 = 2x3
3x(120 + -86x + -37x2 + 2x3 + x4) = 0
(120 * 3x + -86x * 3x + -37x2 * 3x + 2x3 * 3x + x4 * 3x) = 0
(360x + -258x2 + -111x3 + 6x4 + 3x5) = 0

Solving
360x + -258x2 + -111x3 + 6x4 + 3x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(120 + -86x + -37x2 + 2x3 + x4) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(120 + -86x + -37x2 + 2x3 + x4)' equal to zero and attempt to solve:

Simplifying
120 + -86x + -37x2 + 2x3 + x4 = 0

Solving
120 + -86x + -37x2 + 2x3 + x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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